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<div class="titlepage"><div><div><h5 class="title">
<a name="fusion.algorithm.iteration.functions.reverse_fold"></a><a class="link" href="reverse_fold.html" title="reverse_fold">reverse_fold</a>
</h5></div></div></div>
<h6>
<a name="fusion.algorithm.iteration.functions.reverse_fold.h0"></a>
            <span class="phrase"><a name="fusion.algorithm.iteration.functions.reverse_fold.description"></a></span><a class="link" href="reverse_fold.html#fusion.algorithm.iteration.functions.reverse_fold.description">Description</a>
          </h6>
<p>
            For a sequence <code class="computeroutput"><span class="identifier">seq</span></code>, initial
            state <code class="computeroutput"><span class="identifier">initial_state</span></code>,
            and binary function object or function pointer <code class="computeroutput"><span class="identifier">f</span></code>,
            <code class="literal">reverse_fold</code> returns the result of the repeated application
            of binary <code class="computeroutput"><span class="identifier">f</span></code> to the result
            of the previous <code class="computeroutput"><span class="identifier">f</span></code> invocation
            (<code class="computeroutput"><span class="identifier">inital_state</span></code> if it is
            the first call) and each element of <code class="computeroutput"><span class="identifier">seq</span></code>.
          </p>
<h6>
<a name="fusion.algorithm.iteration.functions.reverse_fold.h1"></a>
            <span class="phrase"><a name="fusion.algorithm.iteration.functions.reverse_fold.synopsis"></a></span><a class="link" href="reverse_fold.html#fusion.algorithm.iteration.functions.reverse_fold.synopsis">Synopsis</a>
          </h6>
<pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span>
    <span class="keyword">typename</span> <span class="identifier">Sequence</span><span class="special">,</span>
    <span class="keyword">typename</span> <span class="identifier">State</span><span class="special">,</span>
    <span class="keyword">typename</span> <span class="identifier">F</span>
    <span class="special">&gt;</span>
<span class="keyword">typename</span> <a class="link" href="../metafunctions/reverse_fold.html" title="reverse_fold"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">reverse_fold</span></code></a><span class="special">&lt;</span><span class="identifier">Sequence</span><span class="special">,</span> <span class="identifier">State</span> <span class="keyword">const</span><span class="special">,</span> <span class="identifier">F</span><span class="special">&gt;::</span><span class="identifier">type</span> reverse_fold<span class="special">(</span>
    <span class="identifier">Sequence</span><span class="special">&amp;</span> <span class="identifier">seq</span><span class="special">,</span> <span class="identifier">State</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">initial_state</span><span class="special">,</span> <span class="identifier">F</span> <span class="identifier">f</span><span class="special">);</span>

<span class="keyword">template</span><span class="special">&lt;</span>
    <span class="keyword">typename</span> <span class="identifier">Sequence</span><span class="special">,</span>
    <span class="keyword">typename</span> <span class="identifier">State</span><span class="special">,</span>
    <span class="keyword">typename</span> <span class="identifier">F</span>
    <span class="special">&gt;</span>
<span class="keyword">typename</span> <a class="link" href="../metafunctions/reverse_fold.html" title="reverse_fold"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">reverse_fold</span></code></a><span class="special">&lt;</span><span class="identifier">Sequence</span> <span class="keyword">const</span><span class="special">,</span> <span class="identifier">State</span> <span class="keyword">const</span><span class="special">,</span> <span class="identifier">F</span><span class="special">&gt;::</span><span class="identifier">type</span> reverse_fold<span class="special">(</span>
    <span class="identifier">Sequence</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">seq</span><span class="special">,</span> <span class="identifier">State</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">initial_state</span><span class="special">,</span> <span class="identifier">F</span> <span class="identifier">f</span><span class="special">);</span>

<span class="keyword">template</span><span class="special">&lt;</span>
    <span class="keyword">typename</span> <span class="identifier">Sequence</span><span class="special">,</span>
    <span class="keyword">typename</span> <span class="identifier">State</span><span class="special">,</span>
    <span class="keyword">typename</span> <span class="identifier">F</span>
    <span class="special">&gt;</span>
<span class="keyword">typename</span> <a class="link" href="../metafunctions/reverse_fold.html" title="reverse_fold"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">reverse_fold</span></code></a><span class="special">&lt;</span><span class="identifier">Sequence</span><span class="special">,</span> <span class="identifier">State</span><span class="special">,</span> <span class="identifier">F</span><span class="special">&gt;::</span><span class="identifier">type</span> reverse_fold<span class="special">(</span>
    <span class="identifier">Sequence</span><span class="special">&amp;</span> <span class="identifier">seq</span><span class="special">,</span> <span class="identifier">State</span><span class="special">&amp;</span> <span class="identifier">initial_state</span><span class="special">,</span> <span class="identifier">F</span> <span class="identifier">f</span><span class="special">);</span>

<span class="keyword">template</span><span class="special">&lt;</span>
    <span class="keyword">typename</span> <span class="identifier">Sequence</span><span class="special">,</span>
    <span class="keyword">typename</span> <span class="identifier">State</span><span class="special">,</span>
    <span class="keyword">typename</span> <span class="identifier">F</span>
    <span class="special">&gt;</span>
<span class="keyword">typename</span> <a class="link" href="../metafunctions/reverse_fold.html" title="reverse_fold"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">reverse_fold</span></code></a><span class="special">&lt;</span><span class="identifier">Sequence</span> <span class="keyword">const</span><span class="special">,</span> <span class="identifier">State</span><span class="special">,</span> <span class="identifier">F</span><span class="special">&gt;::</span><span class="identifier">type</span> reverse_fold<span class="special">(</span>
    <span class="identifier">Sequence</span> <span class="keyword">const</span><span class="special">&amp;</span> <span class="identifier">seq</span><span class="special">,</span> <span class="identifier">State</span><span class="special">&amp;</span> <span class="identifier">initial_state</span><span class="special">,</span> <span class="identifier">F</span> <span class="identifier">f</span><span class="special">);</span>
</pre>
<div class="table">
<a name="fusion.algorithm.iteration.functions.reverse_fold.t0"></a><p class="title"><b>Table 1.41. Parameters</b></p>
<div class="table-contents"><table class="table" summary="Parameters">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                    <p>
                      Parameter
                    </p>
                  </th>
<th>
                    <p>
                      Requirement
                    </p>
                  </th>
<th>
                    <p>
                      Description
                    </p>
                  </th>
</tr></thead>
<tbody>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">seq</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      A model of <a class="link" href="../../../sequence/concepts/bidirectional_sequence.html" title="Bidirectional Sequence">Bidirectional
                      Sequence</a>
                    </p>
                  </td>
<td>
                    <p>
                      Operation's argument
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">initial_state</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      Any type
                    </p>
                  </td>
<td>
                    <p>
                      Initial state
                    </p>
                  </td>
</tr>
<tr>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">f</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      <code class="computeroutput"><span class="identifier">f</span><span class="special">(</span><span class="identifier">s</span><span class="special">,</span>e<span class="special">)</span></code> with return type <code class="computeroutput"><a href="http://www.boost.org/libs/utility/utility.htm#result_of" target="_top"><code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">result_of</span></code></a><span class="special">&lt;</span><span class="identifier">F</span><span class="special">(</span><span class="identifier">S</span><span class="special">,</span>E<span class="special">)&gt;::</span><span class="identifier">type</span></code> for current state <code class="computeroutput"><span class="identifier">s</span></code> of type <code class="computeroutput"><span class="identifier">S</span></code>,
                      and for each element <code class="computeroutput"><span class="identifier">e</span></code>
                      of type <code class="computeroutput"><span class="identifier">E</span></code> in
                      <code class="computeroutput"><span class="identifier">seq</span></code>
                    </p>
                  </td>
<td>
                    <p>
                      Operation's argument
                    </p>
                  </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><h6>
<a name="fusion.algorithm.iteration.functions.reverse_fold.h2"></a>
            <span class="phrase"><a name="fusion.algorithm.iteration.functions.reverse_fold.expression_semantics"></a></span><a class="link" href="reverse_fold.html#fusion.algorithm.iteration.functions.reverse_fold.expression_semantics">Expression
            Semantics</a>
          </h6>
<pre class="programlisting">reverse_fold<span class="special">(</span><span class="identifier">seq</span><span class="special">,</span> <span class="identifier">initial_state</span><span class="special">,</span> <span class="identifier">f</span><span class="special">);</span>
</pre>
<p>
            <span class="bold"><strong>Return type</strong></span>: Any type
          </p>
<p>
            <span class="bold"><strong>Semantics</strong></span>: Equivalent to <code class="literal">f(...
            f(f(initial_state,eN),eN-1) ...e1)</code> where <code class="literal">e1 ...eN</code>
            are the consecutive elements of <code class="computeroutput"><span class="identifier">seq</span></code>.
          </p>
<h6>
<a name="fusion.algorithm.iteration.functions.reverse_fold.h3"></a>
            <span class="phrase"><a name="fusion.algorithm.iteration.functions.reverse_fold.complexity"></a></span><a class="link" href="reverse_fold.html#fusion.algorithm.iteration.functions.reverse_fold.complexity">Complexity</a>
          </h6>
<p>
            Linear, exactly <code class="computeroutput"><a class="link" href="../../../sequence/intrinsic/metafunctions/size.html" title="size"><code class="computeroutput"><span class="identifier">result_of</span><span class="special">::</span><span class="identifier">size</span></code></a><span class="special">&lt;</span><span class="identifier">Sequence</span><span class="special">&gt;::</span><span class="identifier">value</span></code> applications of <code class="computeroutput"><span class="identifier">f</span></code>.
          </p>
<h6>
<a name="fusion.algorithm.iteration.functions.reverse_fold.h4"></a>
            <span class="phrase"><a name="fusion.algorithm.iteration.functions.reverse_fold.header"></a></span><a class="link" href="reverse_fold.html#fusion.algorithm.iteration.functions.reverse_fold.header">Header</a>
          </h6>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">fusion</span><span class="special">/</span><span class="identifier">algorithm</span><span class="special">/</span><span class="identifier">iteration</span><span class="special">/</span>reverse_fold<span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">fusion</span><span class="special">/</span><span class="identifier">include</span><span class="special">/</span>reverse_fold<span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
</pre>
<h6>
<a name="fusion.algorithm.iteration.functions.reverse_fold.h5"></a>
            <span class="phrase"><a name="fusion.algorithm.iteration.functions.reverse_fold.example"></a></span><a class="link" href="reverse_fold.html#fusion.algorithm.iteration.functions.reverse_fold.example">Example</a>
          </h6>
<pre class="programlisting"><span class="keyword">struct</span> <span class="identifier">make_string</span>
<span class="special">{</span>
    <span class="keyword">typedef</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span> <span class="identifier">result_type</span><span class="special">;</span>

    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">&gt;</span>
    <span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span> <span class="keyword">operator</span><span class="special">()(</span><span class="keyword">const</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span><span class="special">&amp;</span> <span class="identifier">str</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;</span> <span class="identifier">t</span><span class="special">)</span> <span class="keyword">const</span>
    <span class="special">{</span>
        <span class="keyword">return</span> <span class="identifier">str</span> <span class="special">+</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">lexical_cast</span><span class="special">&lt;</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span><span class="special">&gt;(</span>t<span class="special">);</span>
    <span class="special">}</span>
<span class="special">};</span>
<span class="special">...</span>
<span class="keyword">const</span> <a class="link" href="../../../container/vector.html" title="vector"><code class="computeroutput"><span class="identifier">vector</span></code></a><span class="special">&lt;</span><span class="keyword">int</span><span class="special">,</span><span class="keyword">int</span><span class="special">&gt;</span> <span class="identifier">vec</span><span class="special">(</span><span class="number">1</span><span class="special">,</span><span class="number">2</span><span class="special">);</span>
<span class="identifier">assert</span><span class="special">(</span>reverse_fold<span class="special">(</span><span class="identifier">vec</span><span class="special">,</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">string</span><span class="special">(</span><span class="string">""</span><span class="special">),</span> <span class="identifier">make_string</span><span class="special">())</span> <span class="special">==</span> "21"<span class="special">);</span>
</pre>
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<td align="right"><div class="copyright-footer">Copyright © 2001-2006, 2011, 2012 Joel de Guzman,
      Dan Marsden, Tobias Schwinger<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
      </p>
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